SOLUTION: In 1991, Molly attended a coin auction and purchase some rare seated liberty $0.50 pieces, at a number of very rare $0.02 pieces from the Civil War area if she bought 46 coins with

Question 1109410: In 1991, Molly attended a coin auction and purchase some rare seated liberty $0.50 pieces, at a number of very rare $0.02 pieces from the Civil War area if she bought 46 coins with a face value of $15.80,how much of each denomination did she buy?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In 1991, Molly attended a coin auction and purchase some rare seated liberty $0.50 pieces, at a number of very rare $0.02 pieces from the Civil War area if she bought 46 coins with a face value of $15.80,how much of each denomination did she buy?
:
let a = no. of .50 coins
let b = no. of .02 coins
:
".. she bought 46 coins"
a + b = 46
or
b = (46-a); we can use this form for substitution
:
"..with a face value of $15.80,"
.50a + .02b = 15.80
replace b with (46-a)
.50a + .02(46-a) = 15.80
.50a + .92 - .02a = 15.80
.50a - .02a = 15.80 - .92
.48a = 14.88
a = 14.88/.48
a = 31 ea .50 coins
then
46 - 31 = 15 ea .02 coins
:
:
:
Check this, find the sum of the value of each type
.50(31) = 15.50
.02(15) = 0.30
-------------------
total $: 15.80

RELATED QUESTIONS
In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more (answered by stanbon)

Your mother is very fond of collecting rare philodendron (an ornamental and indoor... (answered by ikleyn)

Consider the situation of Review Exercise 5.95. It has been determined that the sampling (answered by ikleyn)

Michael purchases a rare coin for $100 that will double in value every 9 years. His... (answered by stanbon)

Issac has a collection of coins he knows that he has 100 rare dimes and about half As (answered by macston)

The central exhibit at last years big book fair was a display of seven special rare... (answered by stanbon)

For each of the following situations, state the probability rule or rules that you would... (answered by math_tutor2020)

Hi I'm having some trouble finishing this problem, can you help me? thanks Between... (answered by checkley71)

Aproduction process outputs items in lots of 50. Sampling plans exist in which lots are... (answered by Boreal)